Existence and stability of travelling wave solutions of a nonlinear integral operator

In this paper, we establish the existence and stability property of travelling wave solutions of a nonlinear integral operator in the inferior case.

[1]  D. Aronson,et al.  Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation , 1975 .

[2]  R. Lui.  A Nonlinear Integral Operator Arising from a Model in Population Genetics I. Monotone Initial Data , 1982 .

[3]  O. Diekmann,et al.  Thresholds and travelling waves for the geographical spread of infection , 1978, Journal of mathematical biology.

[4]  D. Aronson,et al.  Multidimensional nonlinear di u-sion arising in population genetics , 1978 .

[5]  J. McLeod,et al.  The approach of solutions of nonlinear diffusion equations to travelling front solutions , 1977 .

[6]  K. Schumacher.  Travelling-front solutions for integro-differential equations. I. , 1980 .

[7]  Horst R. Thieme,et al.  Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations. , 1979 .

[8]  R. Lui.  A Nonlinear Integral Operator Arising from a Model in Population Genetics II. Initial Data with Compact Support , 1982 .

[9]  Odo Diekmann,et al.  Run for your life; a note on the asymptotic speed of propagation of an epidemic : (preprint) , 1979 .

[10]  K. P. Hadeler,et al.  Travelling fronts in nonlinear diffusion equations , 1975 .

[11]  J. McLeod,et al.  The approach of solutions of nonlinear diffusion equations to travelling wave solutions , 1975 .

[12]  O. Diekmann,et al.  On the bounded solutions of a nonlinear convolution equation , 1978 .

[13]  Hans F. Weinberger,et al.  Long-Time Behavior of a Class of Biological Models , 1982 .

[14]  Hans F. Weinberger,et al.  Asymptotic behavior of a model in population genetics , 1978 .

[15]  Horst R. Thieme,et al.  Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread , 1979 .